A shaft carries four masses A, B, C and D of magnitude 200 kg. 300 kg. 400 kg and 200 kg respectively and revolving at radii 80 mm, 70 mm, 60 mm and 80 mm in planes measured from A at 300 mm, 400 mm and 700 mm. The angles between the cranks measured anticlockwise are A to B 45°, B to C 70° and C to D 120°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 100 mm, between X and Y is 400 mm and between Y and D is 200 mm. If the balancing masses revolve at a radius of 100 mm, find their magnitudes and angular positions.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter5: Three-dimensional Equilibrium
Section: Chapter Questions
Problem 5.2P: Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the...
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machine theory
A shaft carries four masses A, B, C and D of magnitude 200 kg, 300 kg. 400 kg and 200
kg respectively and revolving at radii 80 mm, 70 mm, 60 mm and 80 mm in planes
measured from A at 300 mm, 400 mm and 700 mm. The angles between the cranks
measured anticlockwise are A to B 45°, B to C 70° and C to D 120°. The balancing
masses are to be placed in planes X and Y. The distance between the planes A and X is
100 mm, between X and Y is 400 mm and between Y and D is 200 mm. If the balancing
masses revolve at a radius of 100 mm, find their magnitudes and angular positions.
Transcribed Image Text:A shaft carries four masses A, B, C and D of magnitude 200 kg, 300 kg. 400 kg and 200 kg respectively and revolving at radii 80 mm, 70 mm, 60 mm and 80 mm in planes measured from A at 300 mm, 400 mm and 700 mm. The angles between the cranks measured anticlockwise are A to B 45°, B to C 70° and C to D 120°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 100 mm, between X and Y is 400 mm and between Y and D is 200 mm. If the balancing masses revolve at a radius of 100 mm, find their magnitudes and angular positions.
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